线性表示维数为11的自由群的幂单性  

The Unipotency of the Free Group with Linear Representation of Dimension 11

作　　者：杨新松 夏晓丹 YANG Xin-song;XIA Xiao-dan(School of Sciences,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学理学院,哈尔滨150080

出　　处：《哈尔滨理工大学学报》2022年第5期151-158,共8页Journal of Harbin University of Science and Technology

基　　金：国家自然科学基金(11871181).

摘　　要：针对二元生成自由群的幂单问题,通过深入挖掘二元生成自由群本原元组合性质,得到新的关于迹的方程,利用计算软件,对所得的方程求解,并通过相似变换得到了新的幂单性质判定条件,丰富了相关研究。For the unipotent problem of binary-generated free groups,the new trace equations are obtained by intensive study of combinatorial properties of the primitive element of the binary-generated free groups.The resulting equations are resolved by using computer software,and the new determination conditions of unipotency properties are obtained by using similarity transformation,which enriches the related research.

关 键 词：本原元 幂单性 自由群 

分 类 号：O153.3[理学—数学]